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Finding the Third Proportional to 106,753,102 and 233,080,988

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Solution

The third proportional to 106,753,102 and 233,080,988 is: 508,900,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,753,102 : 233,080,988 = 233,080,988 : x
  2. Step 2: Convert to fraction form
    106,753,102/233,080,988 = 233,080,988/x
  3. Step 3: Cross multiply
    106,753,102x = 233,080,988 × 233,080,988
  4. Step 4: Simplify right side
    106,753,102x = 54,326,746,967,056,144
  5. Step 5: Solve for x
    x = 54,326,746,967,056,144/106,753,102
  6. Step 6: Final answer
    x = 508,900,874.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.